Approximate Analytical Solutions for Mathematical Model of Tumour Invasion and Metastasis Using Modified Adomian Decomposition and Homotopy Perturbation Methods

Norhasimah Mahiddin, and Siti Aishah Hashim Ali, (2014) Approximate Analytical Solutions for Mathematical Model of Tumour Invasion and Metastasis Using Modified Adomian Decomposition and Homotopy Perturbation Methods. Journal of Applied Mathematics, 14.

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Official URL: http://www.hindawi.com/journals/jam/2014/654978/ct...

Abstract

The modified decomposition method (MDM) and homotopy perturbation method (HPM) are applied to obtain the approximate solution of the nonlinear model of tumour invasion and metastasis. The study highlights the significant features of the employed methods and their ability to handle nonlinear partial differential equations. The methods do not need linearization and weak nonlinearity assumptions. Although the main difference between MDM and Adomian decomposition method (ADM) is a slight variation in the definition of the initial condition, modification eliminates massive computation work. The approximate analytical solution obtained by MDM logically contains the solution obtained by HPM. It shows that HPM does not involve the Adomian polynomials when dealing with nonlinear problems. (Abstract by authors)

Item Type: Article
Additional Information: Copyright © 2014 Norhasimah Mahiddin and S. A. Hashim Ali. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Subjects: Q Science > QA Mathematics
Depositing User: Mr. Shahril Effendi Ibrahim
Date Deposited: 21 Mar 2014 08:46
Last Modified: 21 Mar 2014 08:46
URI: http://library.oum.edu.my/repository/id/eprint/935

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